Write three sentences in German according to the following cues. Your sentences should be original and should not copy from any course materials or any other source.

1. Write a sentence that contains a common noun (no names!) as a direct object. (ie. You guys have a ball.)

2. Write a sentence that contains a common noun (no names!) as an indirect object. (ie. You guys give your friend the ball.)

3. Write a sentence containing one of the following prepositions followed by a common noun (no names!) (ie. You guys go to the movies without me.) (durch, für, gegen, ohne, um, aus, ausser, bei, mit, nach, seit, von, zu)

Question #2: Rebecca travelling at a speed of 25 km/h with a true bearing of 270 degrees on her boat. There is a wind pushing the boat from a bearing of 220 degrees. Find the resultant velocity of the two vectors. Case 6: Fraud examinationJoseph Gonzales recently bought a new business that included a small 20-room motel and coffee shop. He hired a young couple to run the business and plans to pay them a monthly salary. The couple will live for free in a small apartment behind the motel office and will be in charge of the daily operations of the motel and coffee shop. They will also be responsible for hiring and supervising the four or five part-time employees who will help with cleaning the rooms, cooking, and waiting on customers in the restaurant. The couple will also maintain records of rooms rented, meals served, and payments received (which can be in the form of cash, checks, or credit cards). They will make weekly depos- its of the businesss proceeds at the local bank. Joseph lives about six hours away and will only be able to visit periodically.1. What are your two biggest concerns about possible fraud on the part of the couple? How you would describe the coming together of Europe, the Americas, and Africa? Was it a discovery, a conquest, a process of creating new worlds, or something else entirely? Was it a little of everything? With the invention of the cotton gin during the industrial revolution the south experienced major social and economic changes Given the function f defined as: f: R R f(x) = 2x + 1 Select the correct statements 1.f is a function O2.f is bijective 3. f is onto 4.f is one to one 5. None of the given statements which of the following is not included in gdp? academic heros In a deck of playing cards, what is the probability of obtaininga (5) or a black card for a randomly drawn card? Find the mean , median, mode and range of the following sets of data2,3,4,3,5,5,6,7,8,9,6,6,5,313,7,8,8,2,9,11,7,8,4,545,48,60,42,53,47,51,54,49,48,47,53,48,44,46 Calculate the energy of the violet light emitted by a hydrogen atom with a wavelength of 410.1 nm. 4.85 x 10^-19 j2.06 x 10^-19 j1.23 x 10^-19j8.13 x 10^-19 j5.27 x 10^-19j A laboratory supervisor is authorized to purchase a new osmometer. The supervisor must decide between a freezing-point and a vapor-pressure model.Using the information provided, what substance is used as a reference standard in both models?A. Deionized waterB. NaClC. KClD. Distilled water on january 6, year 1, bulldog co. purchased 34% of the outstanding stock of gator co. for $212,000. gator co. paid total dividends of $24,000 to all shareholders on june 30. gator had a net loss of $56,000 for year 1. journalize bulldog's purchase of the stock, receipt of the dividends, and the adjusting entry for the equity loss in gator co. stock. compute the balance of investment in gator co. stock on december 31, year 1. how does valuing an investment under the equity method differ from valuing an investment at fair value? Prove the following? If light that is initially natural and of flux density Ii passes through two sheets of HN-32 whose transmission axes are parallel, what will be the flux density of the emerging beam? 8.11 What will be the irradiance of the emerging beam if the ana- lyzer of the previous problem is rotated 30? A mass-spring oscillator has a mass of 2 kg, a spring constant of 34 N/m and a damping constant of 4 Ns/m. It is stretched to a displacement of 10 m and released from rest. a. Assuming there are no external forces, model the spring's displacement as a function of time. Graph your answer and describe its asymptotic behavior in a sentence. b. Now assume that at t seconds, there is an external force (in Newtons) given by Fexr(t) = 130 cos(t). (Assume the external force is oriented parallel to the spring) Write an initial value problem describing the motion of the system. c. Solve the above system to write the displacement as a function of time. Graph your answer and describe its asymptotic behavior in a sentence. d. Repeat parts b and c, assuming there is no friction. Carbon dioxide emissions are one of the major causes of air pollution. Whenever a firm emits carbon dioxide due to its business activities, it creates externalities for others.(a) Should carbon dioxide emissions be banned completely from an economic perspective? "Completely banned" means no firms can emit carbon dioxide. Please explain.Consider a world with three firms. Carbon dioxide emissions by different firms are different, and the cost of reducing emissions varies among them as shown in the following table:Firm Emission of CO2 Cost of Reducing Emission by 1 UnitA 50 units $20B 30 units $30C 40 units $40Now, suppose all governments in the world agree to use emission permits to control the total amount of carbon dioxide to be emitted, and all governments in the world want to reduce the emission to 60 units. As a result, 60 permits will be issued and the holder of 1 emission permit can emit 1 unit of carbon dioxide legally.(b) If each firm will be given 20 permits, will voluntarily trade happen among the firms? Describe who are buyers and who are sellers and how many permits will be traded among them.(c) From the perspective of economic efficiency, should the permits for the emission of carbon dioxide be distributed equally among firms (that is each firm receives 20 permits) or by using auction (which is buyers willing to pay the highest price will get the permits)? Explain. Problem 3. Determine whether the statement is true or false. Prove the statement directly from definitions if it is true, and give a counterexample if it is false. (1) There exists an integer m 23 such that 6m +27 is prime. (2) For all integers a and b, if a divides b, then a divides b. (3) If m is an odd integer, then 3m + 7m +12 is an even integer. 5. (20 pts) FGS 9.5 - If the price elasticity of demand is -0.5 and the income elasticity is +0.3, then what will be the effect of a simultaneous 10 percent increase in price and a 10 percent increase For the following problems, consider that in 2005, 87 million American women drove about 860 billion miles and about 13,000 were involved in fatal accidents.How many miles did the average woman drive? 2. Aman: Im adding weight recently.Muna: _____________________________________________. Which of the following is correct about a monopsonistic market? Resources are efficiently allocated.There is one supplier and many buyers.The monopsony has the same quantity transacted as in a perfectly competitive market.The supply curve is horizontal and is equal to the average cost of labor.Purchase of an additional item increases the price of the item and of the existing items being purchased.